Introductio in analysin infinitorum

AC LOGARITHM. TER SERIES EXPLICAT. 87 i fit numerus omni assignabili major, Fractio quoque $\frac{i-1}{i}$ CAP. VII. ipsam unitatem adæquabit. Ob similem autem rationem erit $\frac{i-2}{i} = 1$; $\frac{i-3}{i} = 1$; & ita porro; hinc sequitur fore $\frac{i-1}{2i} = \frac{1}{2}$; $\frac{i-2}{3i} = \frac{1}{3}$; $\frac{i-3}{4i} = \frac{1}{4}$; & ita porro. His igitur valoribus substitutis, erit $a^z = 1 + \frac{kz}{1} + \frac{k^2 z^2}{1 \cdot 2} + \frac{k^3 z^3}{1 \cdot 2 \cdot 3} +$ $\frac{k^4 z^4}{1 \cdot 2 \cdot 3 \cdot 4} + \&c.$ in infinitum. Hæc autem æquatio simul re- lationem inter numeros $a$ & $k$ ostendit, posito enim $z=1$, erit $a = 1 + \frac{k}{1} + \frac{k^2}{1 \cdot 2} + \frac{k^3}{ [TRUNCATED]